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140022030000420 = 22325777900166669
BaseRepresentation
bin11111110101100101101011…
…010110111110000100100100
3200100202222100000120111220200
4133311211223112332010210
5121323110104140003140
61213445122122230500
741331154302144411
oct3765455326760444
9610688300514820
10140022030000420
1140685011628667
121385525a655430
1360190368378c9
14268116103b108
15112c463594030
hex7f596b5be124

140022030000420 has 36 divisors (see below), whose sum is σ = 424733491001820. Its totient is φ = 37339208000064.

The previous prime is 140022030000401. The next prime is 140022030000449. The reversal of 140022030000420 is 24000030220041.

140022030000420 is a `hidden beast` number, since 1 + 40 + 0 + 2 + 203 + 0 + 0 + 0 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91058199323364 + 48963830677056 = 9542442^2 + 6997416^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140022030000393 and 140022030000402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388950083155 + ... + 388950083514.

Almost surely, 2140022030000420 is an apocalyptic number.

140022030000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140022030000420 is an abundant number, since it is smaller than the sum of its proper divisors (284711461001400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140022030000420 is a wasteful number, since it uses less digits than its factorization.

140022030000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777900166684 (or 777900166679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 140022030000420 its reverse (24000030220041), we get a palindrome (164022060220461).

The spelling of 140022030000420 in words is "one hundred forty trillion, twenty-two billion, thirty million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 777900166669 1555800333338 2333700500007 3111600666676 3889500833345 4667401000014 7001101500021 7779001666690 9334802000028 11668502500035 14002203000042 15558003333380 23337005000070 28004406000084 35005507500105 46674010000140 70011015000210 140022030000420